Higher-order rogue waves due to a coupled cubic-quintic nonlinear Schrödinger equations in a nonlinear electrical network

We study a nonlinear dispersive electrical transmission network, with a CMOS varactor. Using the reductive perturbation method in semi-discrete limit, we show that the dynamics of modulated waves is governed by a pair of coupled cubic-quintic nonlinear Schr & ouml;dinger equations. Through the generalized Darboux transformation, we construct high order rogue waves solutions including pairs of first-, second- and third-order rational solutions. Our results show that the wavenumber influences the amplitude and phase of waves. We numerically show that the first and second order rogue waves are more stable than the third ones and in good agreement with the analytical results.